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STMP

*The author of this computation has been verified*
R Software Module: /rwasp_smp.wasp (opens new window with default values)
Title produced by software: Standard Deviation-Mean Plot
Date of computation: Wed, 29 Dec 2010 15:09:09 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/29/t1293635262derpi77i41386oz.htm/, Retrieved Wed, 29 Dec 2010 16:07:42 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/29/t1293635262derpi77i41386oz.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
5745 4549 5074 3602 2732 2589 2148 2330 2752 3241 4517 6550 6778 6240 5570 3558 3299 2447 2380 2378 2947 3651 4816 6436 7090 4682 4198 3860 3056 2563 2568 2472 2821 4015 4686 5418 5649 4572 4695 3766 2900 2528 2549 2478 2828 4139 5390 5621 5291 5272 4677 3520 2842 2723 2581 2429 2606 3787 4630 5505 5577 4911 4701 3557 2921 2734 2636 2433 2640 3794 4745 5698 5909 5119 5200 3876 3104 2251 2386 2794 2967 3392 4741 5909 5901 4962 4751 3909 3130 2860 2568 2540 2894 4216 4530 5144 6206 5645 4601 3645 3140 2264 2557 2431 2747 4587 4512 5313 6011 5328 5014 3630 3102 2739 2877 2659 2957 3785 4785 5757 5458 5427 5018 3498 3204 2763 2589 2591 2805 3278 4615 5524 6167 5380 5377 3603 2774 2470 2407 2512 2451 3134 4210 4859 5022 4584 4267 3022 2777 2428 2389 2496 2820 3854 4748 5666 5293 4905 4920 3854 2659 2491 2455 2472 3030 3987 4453 5417
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13819.083333333331445.571887985284402
24208.333333333331675.04058747754400
33952.416666666671390.158817502084618
43926.251253.004108315113171
53821.916666666671194.557921905793076
63862.251213.186871987843265
73970.666666666671344.783073641073658
83950.416666666671135.392479864713361
93970.666666666671356.712559718153942
104053.666666666671251.599800497773352
113897.51210.350925821252935
123778.666666666671368.252789863663760
133672.751156.060247329073277
1438281165.992359245202962


Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-1284.47191735426
beta0.660602535506563
S.D.0.262238862376526
T-STAT2.51908710066803
p-value0.0269543492057929


Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-7.96392094643807
beta1.82900569102741
S.D.0.770992075971382
T-STAT2.37227560182512
p-value0.0352551233443167
Lambda-0.82900569102741
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/29/t1293635262derpi77i41386oz/1u6sk1293635345.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/29/t1293635262derpi77i41386oz/1u6sk1293635345.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/29/t1293635262derpi77i41386oz/2u6sk1293635345.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/29/t1293635262derpi77i41386oz/2u6sk1293635345.ps (open in new window)


 
Parameters (Session):
par1 = 12 ;
 
Parameters (R input):
par1 = 12 ;
 
R code (references can be found in the software module):
par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
 





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This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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